Textbook Question
A metal is thought to be copper or gold. When 18 g of themetal absorbs 58 cal, its temperature rises by 35 °C. (3.6)a. What is the specific heat, in cal/g °C, of the metal?
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3. Matter and Energy
Heat Capacity
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Based on their given specific heat capacities which substance would show the greatest temperature change upon absorbing 25.0 J of heat?
A
250.0 g Al
B
250.0 g Cu
C
250.0 g ethanol
D
250.0 g wood
Verified step by step guidance1
Identify the formula to calculate the temperature change, which is ΔT = Q / (m * C), where ΔT is the temperature change, Q is the heat absorbed, m is the mass, and C is the specific heat capacity.
List the specific heat capacities for each substance from the image: Aluminum (Al) = 0.900 J/g°C, Copper (Cu) = 0.385 J/g°C, Ethanol (C2H5OH) = 2.460 J/g°C, and Wood = 1.760 J/g°C.
Substitute the given values into the formula for each substance. For example, for Aluminum: ΔT_Al = 25.0 J / (250.0 g * 0.900 J/g°C).
Repeat the substitution for Copper, Ethanol, and Wood using their respective specific heat capacities.
Compare the calculated temperature changes (ΔT) for each substance. The substance with the highest ΔT will show the greatest temperature change upon absorbing 25.0 J of heat.
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